# How do you sketch the graph of y=(x-5)^2 and describe the transformation?

Jul 22, 2018

See below.

#### Explanation:

$y = {\left(x - 5\right)}^{2}$

The graph of $y$ is the standard parabolic, concave up curve of $y = {x}^{2}$ shifted ("transformed") by 5 units right ("positive") on the $x -$axis,

The graph of $y$ is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}